TRANSIENT THERMAL STRESSES IN A FINITE CYLINDER OF NONUNIFORM CROSS SECTION

Abstract

Boundary fitted coordinate variables are used to map the region of interest into a square. The governing transient heat conduction and displacement equilibrium equations are rewritten in terms of the new coordinate variables and are solved by a direct power series approach through the application of the Lanczos-Chebyshev and the discrete least squares methods. A finite cylindrical cone section is used to demonstrate how numerical solutions can be obtained